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Discuss the applicability of the Rolle's theorem for the following functions in the given intervals. (i) f(x) = (x-2) (2x-1) in the interval [1,2]. (ii) f(x) = tan x in the interval [0, pi] . (iii) f(x) = sin (1)/(x) in the interval [-2,2] . (iv) f(x) = |x| in the interval [-2,2] . (v) f(x) = x^(1//3) in the interval [-2,2]. |
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